How many ways can you arrange the word laptop?

In how many different ways can the letters of the word “LAPTOP” be arranged? Total ways of arrangements is, LAPTOP = 6! = 720.

How many ways can the letters in the word COMPUTER be arranged if the letters CO must remain next to each other in order as a unit?

When the letters are arranged randomly in a row, the total number of arrangements is 40,320 by part (a), and the number of arrangements with the letters CO next to each other (in order) as a unit is 5,040.

How many ways can the letter of the word friend be arranged so that the vowels come together?

Required number of ways = (120 x 6) = 720.

How many ways can the letters of the word permutations be arranged if the I vowels are all together II there are always 4 letters between P and S?

In how many ways can the letters of the word “PERMUTATIONS” be arranged so that there are always 4 letters between ‘P’ and ‘S’? There should always be 4 letters between P and S. Therefore, total number of permutations = 14 × 1814400 =25401600.

How many ways can the letters in the word computer be arranged?

You can form the required word in 576 ways. Explanation: There are 4 odd places (since computer is a eight lettered word) and there are 3 vowels (u, e, o). Therefore, the vowels can be arranged in ways. The remaining 5 consonant can be filled up in the remaining 5 places in 5!

How many ways COMPUTER can be arranged?

The number of ways the letters of the word COMPUTER can be rearranged is. 40320. 40319.

How many ways leading can be arranged?

when the vowels EAI are always together , they can be supposed to form one letter. then , we have to arrange the letters LNDG (EAI) . Now , 5(4+1=5) letters can be arranged in 5! = 120 ways .

How many ways the word letter can be arranged?

When the vowels OIA are always together, they can be supposed to form one letter. Then, we have to arrange the letters PTCL (OIA). Now, 5 letters can be arranged in 5! = 120 ways….Exercise :: Permutation and Combination – General Questions.

Number of ways of arranging these letters =	8!	= 10080.
(2!)(2!)

How do you arrange the vowels in the word machine?

There are 3 vowels in the word machine, a, i and e. The 3 letters may be arranged in 4 positions,1,3, 5 and 7, since machine has 7 letters in it. So take the first vowel, a, and that can be arranged in 4 ways, in 4 different position. So after the first letter was placed, the next one one can be placed in 3 different positions.

How many different vowels can be arranged among themselves?

They can be arranged among them self in 6! ways and two vowels can again be arranged in 2! ways. The number of arrangements in which the vowels do not come together can be obtained by subtracting from the total number of arrangements in which the vowels come together. Now, the total number of arrangements is 7!

How do you calculate the number of vowels in a word?

First, put all of the vowels together – so that’s AEAI. Four letters in total, but two As, so there are 4! 2! 1! 1! = 4 ∗ 3 ∗ 2 ∗ 1 2 ∗ 1 = 12 ways these vowels can be arranged. Next, treat the block of vowels like a single letter, let’s just say V for vowel.

How many ways to arrange letters of a word?

Number of Ways to Arrance ‘n’ Letters of a Word ‘n’ Letters Words Ways to Arrange 7 Letters Word 5,040 Distinct Ways 8 Letters Word 40,320 Distinct Ways 9 Letters Word 362,880 Distinct Ways 10 Letters Word 3,628,800 Distinct Ways